Geometry Quiz

Are two rectangles always, sometimes, or never similar?

• Always

• Sometimes

• Never

• Not enough information

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are two isosceles triangles always, sometimes, or never similar?

• Always

• Sometimes

• Never

• Not enough information

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are two equilateral triangles always, sometimes, or never similar?

• Always

• Sometimes

• Never

• Not enough information

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which lines will not be changed by the transformation? Select all that apply.

• Line AC

• Line AE

• Line BE

• Line CD

• Line DE

Tags

CCSS.HSG.CO.A.2

The figure below shows △ABC which is a right triangle with ∠ACB being a right angle and CD ⊥ AB. What type of triangle is △ABC?

• Equilateral

• Isosceles

• Right

• Scalene

Tags

CCSS.4.G.A.2

The figure below shows △ABC which is a right triangle with ∠ACB being a right angle and CD ⊥ AB. Which angle in △ABC is a right angle?

• ∠ACB

• ∠CAB

• ∠ABC

• ∠BCD

Tags

CCSS.HSG.CO.C.10

The figure below shows △ABC which is a right triangle with ∠ACB being a right angle and CD ⊥ AB. Consider the following claim: 

△ABC is similar to both △ACD and △CBD. Which of the following explain the similarity? Select all that apply.

• △ABC∼△ACD because:

  • Both triangles share ∠CAB, and both have a right angle (∠ACB=∠ACD=90∘)

• △ABC∼△CBD because:

  • Both triangles share ∠CBA, and both have a right angle (∠ACB=∠CBD=90∘)

• △ACD∼△CBD because:

  • Both triangles share ∠ACD=∠BCD=90∘, and they share ∠CAD=∠CBD.

• By the AA Similarity Postulate, △ABC∼△ACD∼△CBD as all three triangles share corresponding angles and their sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Under a dilation where the center of dilation is the origin, the image of A(−2,−3) is A'(−6,−9). What are the coordinates of B', the image of B(4,0) under the same dilation?

• (−12,0)

• (12,0)

• (−4,0)

• (4,0)

Tags

CCSS.8.G.A.3

In the coordinate plane, quadrilateral ABCD has vertices A (1, 1), B (5, 1), C (5, 9), and D (1, 9). Quadrilateral FGHJ is shown in the coordinate plane. What are the scale factor and the center of dilation that map quadrilateral ABCD onto quadrilateral FGHJ?

• 1. The scale factor is 

  2. 1/2, and the center of dilation is point A.

• 1. The scale factor is 

  2. 1/2, and the center of dilation is the origin.

• 1. The scale factor is 2, and the center of dilation is point A.

• 1. The scale factor is 2, and the center is the origin.

Tags

CCSS.HSG.CO.A.2

In the diagram, ∠GRS ≅ ∠ART,  GR = 36,  SR = 45,  AR = 15, and  RT = 18. Which triangle similarity statement is correct? 

• 1. △GRS ∼ △ART 

• 1. △GRS ∼ △TRA

• 1. △GRS ∼ △TAR 

• 1. △GRS is not similar to △ART.

Tags

CCSS.HSG.SRT.A.2