Geometry CBE Practice Exam

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• If chords AB and CD intersect at P inside a circle, which equation expresses the power of a point?
• When two parallel lines are cut by a transversal, what is true about alternate exterior angles?
• Which statement describes the relationship of alternate exterior angles when two lines are parallel and cut by a transversal?
• What is the angle of elevation?
• If two triangles have congruent corresponding sides and angles, what is their relationship?
• If two coplanar lines are cut by a transversal and the lines are parallel, the same-side interior angles are
• Which statement describes a scalene triangle?
• The diagonals of a rectangle have what property?
• Which term is defined as a part of a line with two endpoints?
• Circumference of a circle is given by which formula?
• What is the contrapositive of the conditional statement 'If p, then q'?
• What is the area of a trapezoid with bases 6 and 8 and height 5?
• Which statement is true about an equilateral triangle?
• Which statement is the ConVerse of the Alternate Exterior Angles Theorem?
• Which statement best defines a biconditional statement?
• Which statement describes an equiangular triangle?
• The area of a trapezoid with height h and bases b1 and b2 is:
• HL congruence is a criterion that applies to which triangles?
• Under a dilation with center at the origin and scale factor k, a point (x,y) maps to which coordinates?
• AAS Congruence Criterion corresponds to which sequence of parts?
• Are both the angle of elevation and the angle of depression measured from a horizontal line?
• Which statement correctly identifies the SSS congruence criterion?
• Which statement correctly describes the relationship of corresponding angles when two lines are cut by a transversal and the lines are parallel?
• In a parallelogram, consecutive angles are
• The circumcenter is the center of which circle?
• Which statement represents the Triangle Sum Theorem?
• In terms of the perimeter P and apothem a, the area of a regular polygon is A = ?
• Which of the following lists are standard types of angles?
• In a parallelogram, opposite sides are what?
• For two secants or tangents from an external point to a circle, the exterior angle equals half the difference of the intercepted arcs. Which statement is true?
• If the radius of a circle doubles, the circumference becomes how many times as large?
• The area of a trapezoid with bases b1 and b2 and height h is what?
• In a parallelogram, opposite angles are
• What is the sum of the interior angles of any triangle?
• Converse of the Same-Side Interior Angles Theorem states that if two coplanar lines are cut by a transversal so that a pair of same-side interior angles are supplementary, then the lines are
• What is the area of a circle with radius r?
• If two lines are cut by a transversal and a pair of alternate interior angles are congruent, what can be concluded?
• In a cyclic quadrilateral, opposite angles are supplementary.
• In an isosceles triangle, which angles are congruent?
• If two lines are perpendicular, their slopes multiply to what value (provided both are defined)?
• What is the distance between (0,0) and (3,4)?
• The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
• In a kite, the diagonals are perpendicular. What additional property holds for one diagonal?
• Which equation represents a circle with center (h, k) and radius r in standard form?
• Two nonvertical lines are perpendicular if and only if which relationship between their slopes holds?
• The incircle of a triangle is tangent to which features?
• Exterior Angle Theorem states that the measure of an exterior angle equals what?
• Vertical angles are defined as which of the following?
• Which statement correctly describes an isosceles triangle?
• Which equation represents a circle of radius 5 centered at the origin?
• Adjacent angles formed by two intersecting lines are what?
• The angle between a tangent line and the radius drawn to the point of tangency is
• A rectangle with length 8 and width 5 has a perimeter of what?
• CPCTC is used in a proof to conclude which of the following about corresponding segments when two triangles are known to be congruent?
• The area of a circle with radius 3 is what?
• The distance from (0, 0) to (a, b) is
• Which statement about a geometric transformation is correct?
• The area of a triangle with base b and height h is equal to:
• If a polygon has six sides, what is the sum of its interior angles?
• What does the parallel lines theorem say about vertical lines?
• In y = mx + b, what does b represent?
• What is the angle of depression?
• The altitude, median, and angle bisector from a vertex in an isosceles triangle coincide. True or false?
• Which statement about the circle's diameter is NOT true?
• What does the Converse of the Corresponding Angles Postulate state?
• In a right triangle, the two acute angles sum to how many degrees?
• The area of a triangle with base b and height h is what?
• According to the Linear Pair Theorem, if two angles form a linear pair, what is true about their measures?
• The sum of exterior angles of any polygon is equal to
• If two angles of one triangle are congruent to two angles of another triangle, what can be concluded about the third angles?
• When a transversal intersects two parallel lines, what is the relationship between corresponding angles?
• A trapezoid area calculation: If h = 4, b1 = 3, b2 = 5, then A = 1/2 h (b1 + b2). What is A?
• Which property defines an equilateral triangle?
• Two nonvertical lines are parallel if and only if which condition holds?
• The inverse of 'If p, then q' is which?
• The exterior angle of a polygon at a vertex is supplementary to its interior angle. Which statement is correct?
• Which statement is true about the congruence of triangles with corresponding sides equal?
• Which statement correctly describes parallel lines?
• If a line has slope 1, then for every 1 unit increase in x, y increases by 1.
• If a triangle has interior angles 30 degrees and 60 degrees, what is the measure of the exterior angle at the third vertex?
• Which statement best defines an acute triangle?
• If a line has slope -2, what is the slope of a line perpendicular to it?
• The circumference of a circle of radius r is given by which formula?
• A regular polygon has perimeter 40 and apothem 3. What is its area?
• Which of the following is a correct consequence of two parallel lines being cut by a transversal?
• Which statement about the diameter and radius is true?
• The distance between points (x1,y1) and (x2,y2) is given by:
• What are the coordinates of the midpoint of segment AB with A(1,3) and B(5,7)?
• The interior angle of a regular n-gon is given by which expression?
• In a dilation, the image is similar to the preimage. If the scale factor is k, what happens to lengths and areas?
• Rotation in the plane is best described as:
• In a right triangle, the Pythagorean theorem states that the sum of squares of the legs equals the square of the hypotenuse. Which equation represents that relation?
• Reflection in geometry refers to which of the following?
• Which equation is in slope-intercept form?
• According to the Vertical Angles Theorem, which property holds for vertical angles?
• Which statement about horizontal lines is true?
• The area of a square with side length s is:
• Which statement correctly describes perpendicular lines?
• If a line has slope m and another line is perpendicular to it (neither line is vertical), what is the slope of the other line?
• Which postulate guarantees that, when two parallel lines are cut by a transversal, the corresponding angles are congruent?
• The circle with center at the origin and radius r has equation x^2 + y^2 = r^2. True or false?
• CPCTC stands for which statement?
• What is the converse of the conditional statement 'If p, then q'?
• In a plane, if a transversal is perpendicular to one of two parallel lines, what is true about its relation to the other line?
• Which statement about exterior angles of a polygon is true?
• Vertical angles are defined as which of the following?
• For a regular polygon with n sides and side length s, the perimeter P equals
• Which statement about parallelogram diagonals is true?
• For points (1,2) and (4,7), the distance is:
• The area of a parallelogram with base b and height h is:
• Two parallel lines are cut by a transversal. What is true about the pair of alternate exterior angles?
• Which equation represents the line with slope m passing through the point (x1, y1)?
• In the Isosceles Triangle Theorem, which angles are congruent?
• What is the distance between points (x1, y1) and (x2, y2)?
• If one angle of a triangle measures 120 degrees, what is the sum of the measures of the other two angles?
• Which angle pair lies outside the two lines on opposite sides of the transversal when the lines are parallel?
• In a circle, what is the measure of an inscribed angle that subtends arc AB equal to half the measure of the central angle subtending the same arc?
• What is the inverse of the conditional statement 'If p, then q'?
• What is the sum of the interior angles of a pentagon?
• If two triangles are similar by the AA condition, what can you conclude about their corresponding sides?
• Which statement is true about parallelogram sides?
• The coordinates of the centroid of a triangle with vertices (x1,y1), (x2,y2), (x3,y3) are what?
• The sum of the interior angles of a polygon with n sides is what formula (in degrees) for simple polygons?
• Which term describes a line that extends without end in both directions?
• The midpoint M of segment AB has coordinates given by what formula?
• Two angles whose sum is 90 degrees are called what?
• If a triangle has all three interior angles equal, what type is it?
• State the Pythagorean theorem for a right triangle with legs a and b and hypotenuse c.
• Which statement best describes the parallel postulate as given in the content?
• The converse of 'If p, then q' is which?
• Two angles whose sum is 180 degrees are called what?
• In the area formula for a regular polygon A = (1/2) × P × a, what does P represent?
• For a pentagon, the sum of interior angles is 540 degrees.
• In a right triangle, the area equals one-half the product of the lengths of which sides?
• In a parallelogram, diagonals bisect each other.
• The area of a parallelogram is equal to:
• Which statement best defines a biconditional statement?
• Which trigonometric function is the reciprocal of sine?
• If the scaling factor from one similar triangle to another is k, how do the corresponding sides compare?
• Which of the following is the standard form equation of a circle with center (h, k) and radius r?
• Which option is NOT a valid congruence criterion for triangles?
• The area of a rectangle with length l and width w is what?
• If sin θ = 3/5, then csc θ equals
• Which function is the reciprocal of tangent?
• The midpoint of a segment with endpoints (x1,y1) and (x2,y2) is:
• If two parallel lines are cut by a transversal, what is true about the pair of alternate interior angles?
• Which description characterizes a right triangle?
• The locus of points equidistant from two given points is which geometric object?
• In triangle ABC, if AB equals AC, what is the type of triangle and what can you say about the angles at B and C?
• The incenter of a triangle is the center of which circle?
• The reciprocal relationship for sine and cosecant is which of the following?
• If two lines are cut by a transversal and the corresponding angles are congruent, what does that imply?
• Area of a circle is given by which equation?
• Which term describes a point at one end of a segment or the starting point of a ray?
• Angle bisector is defined as which of the following?
• If a line has slope 3, the slope of a line perpendicular to it is which of the following?
• Which of the following describes parallel lines?
• The area of a regular polygon can be found using apothem and perimeter. Which formula computes the area given perimeter P and apothem a?
• The midpoint theorem states that the segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. True or false?
• Which statement is true for a parallelogram?
• If the central angle subtending arc AB is 80 degrees, what is the measure of the inscribed angle subtending the same arc?
• Which statement reflects the Hinge Theorem?
• A line rises 4 units for every 1 unit run. What is its slope?
• The statement 'A tangent line to a circle is perpendicular to the radius at the point of tangency' is
• Which statement expresses the Converse of the Alternate Interior Angles Theorem?
• The contrapositive of 'If p, then q' is which?
• Which statement correctly identifies the SAS congruence criterion?
• A conditional statement has which form?
• In a right triangle, the circumcenter is located at the midpoint of the hypotenuse.
• The slope of a line perpendicular to a line with slope m is what?
• According to the Hinge Theorem, if the included angle in the first triangle is larger, which statement is true about the third sides?
• What does the AAS Congruence Criterion specify?
• If two triangles have corresponding angles congruent, what is the implied relationship between the triangles?
• In a right triangle, cosine of an angle is defined as which ratio?
• Which statement about parallelogram diagonals is true?
• Which statement about rotation is correct?
• A triangle with two sides congruent is called which type?
• Which statement describes an obtuse triangle?
• Which equation represents the point-slope form of a line with slope m passing through (x1, y1)?
• When two parallel lines are cut by a transversal, same-side interior angles are
• Which of the following defines skew lines?
• Find the centroid of the triangle with vertices (0,0), (6,0), and (0,6).
• Which expression correctly defines the slope of a line?
• If two interior angles measure 85 degrees and 40 degrees, what is the measure of the third angle?
• The measure of an exterior angle of a triangle equals the sum of the measures of the two nonadjacent interior angles.
• Diagonals of a rhombus are perpendicular.
• Which describes a part of a line that has one endpoint and continues without end in one direction?
• If a circle is formed by two secants from an external point and the intercepted arcs measure 100° and 60°, what is the measure of the exterior angle?
• In a right triangle, the area equals one-half the product of the lengths of which sides?
• Which of the following statements is true when two parallel lines are cut by a transversal?
• ASA Congruence Criterion requires which arrangement of parts?
• A perpendicular bisector has which of the following properties?
• The perimeter of a rectangle with length l and width w is what?
• Which expression correctly gives the distance between two points?