Exam: 03.00 Module Three Pretest Geometry

Kari drew two parallel lines PQ and RS intersected by a transversal KL, as shown below: Which theorem could Kari use to show the measure of angle QML is supplementary to the measure of angle SNK?

NOT Alternate Exterior Angles Theorem.. THIS IS WRONG.

The following is an incomplete flowchart proving that the opposite angles of parallelogram JKLM are congruent: Which reasons can be used to fill in the numbered blank spaces?

NOT Corresponding Angles Theorem Same-Side Interior Angles Theorem... THIS IS WRONG.

The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel: A quadrilateral ABCD is shown with the opposite sides AB and DC shown parallel and equal A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram: Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle BDC, are congruent. Side AB is equal to side DC and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by _______________. By CPCTC, angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel. Which phrase best completes the student's proof?

NOT SSS Postulate... THIS IS WRONG.

The figure shows triangle ABC with medians AF, BD, and CE. Segment AF is extended to H in such a way that segment GH is congruent to segment AG. Which conclusion can be made based on the given conditions?

NOT Segment BH is congruent to segment HC... THIS IS WRONG.

Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angle ADE is 47°. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 43°: Which statement and reason can be used to fill in the numbered blank spaces?

CORRECT: Corresponding angles are congruent Triangle Sum Theorem Measure of angle AED is 43°.

The figure below shows a rectangle ABCD having diagonals AC and DB: Jimmy wrote the following proof to show that the diagonals of rectangle ABCD are congruent: Jimmy's proof: Statement 1: In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent) Statement 2: Angle ADC = Angle BCD (angles of a rectangle are 90°) Statement 3: Statement 4: Triangle ADC and BCD are congruent (by SAS postulate) Statement 5: AC = BD (by CPCTC) Which statement below completes Jimmy's proof?

CORRECT: DC=DC (reflexive property of equality)

PQ and RS are two lines that intersect at point T, as shown below: Which fact is used to prove that angle PTR is always equal to angle STQ?

CORRECT: If two angles are equal to the same measure, then the angles are congruent.

Look at the figure shown below: CB is a segment on which a perpendicular bisector AD is drawn. D is the midpoint of CB. Which step should be used to prove that point A is equidistant from points C and B?

CORRECT: In triangles ABD and ACD, two sides and an included angle are equal.

In triangle ABC shown below, side AB is 10 and side AC is 8: Which statement is needed to prove that segment DE is parallel to segment BC and half its length?

CORRECT: Segment AD is 5, and segment AE is 4.

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