Geometry Interim Review

In order to measure the height of a large tree, Adrian measures the tree’s shadow and immediately measures the length of his shadow and his height. What is the height of the tree?

• 47.9 ft
• 42.3 ft
• 31.725 ft
• 56.4 ft

Use the Angle-Angle Similarity Postulate to determine which pair of triangles is not similar.

• I
• II
• III
• IV

In the triangle shown, GH||DF . What is the length of  GE?

• 4.5
• 7.5
• 8
• 2.0

This is the start of a proof of the statement “If a line is parallel to one side of a triangle and intersects the other two sides at distinct points, then it separates these sides into segments of proportional lengths.”

• Alternate Interior Angles are congruent.
• Vertical Angles are congruent.
• Corresponding Angles are congruent.
• Alternate Exterior Angles are congruent.

In the triangles shown, ΔABC  is dilated by a factor of 2/3 to form ΔXYZ . Given that  and , what is m∠A = 50⁰ and m∠B = 100⁰, what is m∠Z?

• 15⁰
• 50⁰
• 25⁰
• 30⁰

Which CANNOT be used to justify the statement ΔPQR ≅ ΔTUV?

• SSS
• SAS
• AAS
• ASA

In parallelogram RSTU, UR = 25, RX = 16, and m∠STU = 42.4^o. Find m∠RST.

• 180^o
• 42.4^o
• 137.6^o
• 47.8^o

If ∆ABC ≅ ∆DEF , which segment is congruent to AC?

• EF
• AB
• DF
• DE

∆MNP and ∆QNP  have the following properties: MN≅QN, PM≅PQ, and NP is a common side. 
If  MN = 9 , MP = 13 , QN = x + 2, and QP = y – 1, determine the values of x and y. 

• x = 7, y = 14
• x = 10, y = 15
• x = 9, y = 13
• x = 8, y = 12

What additional information do you need to prove ∆ABC ≅ ∆ADC by the SAS Postulate?

• ∠ABC≅∠ADC
• BC≅DC
• ∠ACB≅∠ACD
• AB≅AD