Congruent Similar Proof

• 2.0

• 4.5

• 7.5

• 8.0

Parallelogram FGHJ was translated 3 units down to form parallelogram F’G’H’J’. Parallelogram F’G’H’J’ was then rotated 90° counterclockwise about point G’ to obtain F’’G’’H’’J’’. Which statement is true about parallelogram FGHJ and parallelogram F”G”H”J”?

• The figures are both similar and congruent.

• The figures are neither similar nor congruent.

• The figures are similar but not congruent.

• The figures are congruent but not similar.

Consider the triangles shown. Which can be used to prove the triangles are congruent?

• SSS

• ASA

• SAS

• AAS

In this diagram, DE is congruent to JI and angle D is congruent to angle J. Which additional information is sufficient to prove that ∆DEF is congruent to ∆JIH?

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In this figure, LN is perpendicular to KM. What additional information would a student need to prove ∆KLN~∆MLN?

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In this diagram, STU is an isosceles triangle where ST is congruent to UT. The paragraph proof shows that angle S is congruent to U. Which step is missing in the proof?

• CPCTC

• Reflexive Property

• Definition of right angles

• Angle Congruence Postulate

The following is a proof of the Pythagorean Theorem. Which reason justifies step 2?

• Triangle proportionality theorem.

• Corresponding sides of similar triangles are proportional.

• Corresponding sides of similar triangles are congruent.

• Triangle mid-segment theorem.

• Alternate interior angles are congurent

• Corresponding angles are congruent

• Vertical angles are congruent

• Alternate exterior angles are congruent

This figure shows quadrilateral JKLM. What information will NOT be used to prove that JKLM is a parallelogram?

• Show that angle JLM is congruent to angle LJK

• Show that JK is congruent to LM

• Show that ∆JKL is congruent to ∆LMJ

• Show that ∆JKL is congruent to ∆JLM

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation center at the origin?

• 4

• 2

• 1

• 1/2