Similarity ( Review) Ms. Sanchez 2020

When two triangles are considered similar but not congruent?

• The distance between corresponding vertices are equal.

• The distance between corresponding vertices are proportionate.

• The vertices are reflected across the x-axis.

• Each of the vertices are shifted up by the same amount.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Each of the vertices are shifted up by the same amount.

• The side lengths and angle measure were multiplied by $\frac{XY}{AB}$

• The side lengths were multiplied by $\frac{XY}{AB}$ , while the angle measures were preserved.

• The angle measures were multiplied by $\frac{XY}{AB}$ , while the side lengths were preserved.

• The angle measures and side lengths were preserved.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

 $In\ the\ diagram\ below,\ ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹.$  
 $If𝐴𝐵=6and𝐴𝐶=8,$  

which statement will  justify  similarity  by  SAS ?

•  $𝐷𝐸=9,\ 𝐷𝐹=12,\ and∠𝐴≅∠D$  

•  $𝐷𝐸=8,\ 𝐷𝐹=10,\ and∠𝐴≅∠D$  

•  $𝐷𝐸=36,\ 𝐷𝐹=64,\ and∠𝐶≅∠𝐿F$  

•  $𝐷𝐸=15,\ 𝐷𝐹=20,\ and∠𝐶≅∠𝐿F$  

Tags

CCSS.HSG.SRT.B.5

Kamal dilates triangle ABC to get triangle A′B′C′. He knows that the triangles are similar because of the definition of similarity transformations. He wants to demonstrate the angle-angle similarity postulate by proving

∠BAC≅∠B′A′C′ and∠ABC≅∠A′B′C′.

• Two non-vertical lines have the same slope if and only if they are parallel.

• Angles supplementary to the same angle or to congruent angles are congruent.

• If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

• If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Tags

CCSS.HSG.SRT.B.4

Lines AC and FG are parallel. Which statement should be used to prove that triangles ABC and DBE are similar?

• Angles BDE and BCA are congruent as alternate interior angles.

• Angles BAC and BEF are congruent as corresponding angles.

• Angles BED and BCA are congruent as corresponding angles.

• Angles BDG and BEF are congruent as alternate exterior angles.

Tags

CCSS.HSG.SRT.B.5

Given the diagram below, what is the value of x?

• 13.5

• 14.6

• 15.5

• 16.6

Tags

CCSS.HSG.SRT.B.5

A scale model of the Millennium Dome in Greenwich, England, was constructed on a scale of 100 meters to 1 foot. The cable supports are 50 meters high and form a triangle with the cables. How high are the cable supports on the scale model that was built?

• 0.5 foot

• 1 foot

• 1.5 feet

• 2 feet

Tags

CCSS.7.G.A.1

Hector knows two angles in triangle A are congruent to two angles in triangle B. What else does Hector need to know to prove that triangles A and B are similar?

• Hector does not need to know anything else about triangles A and B.

• Hector needs to know the length of any corresponding side in both triangles.

• Hector needs to know all three angles in triangle A are congruent to the corresponding angles in triangle B.

• Hector needs to know the length of the side between the corresponding angles on each triangle.

Tags

CCSS.HSG.SRT.A.2

In ∆𝑆𝐶𝑈 shown below, points 𝑇 and 0 are on 𝑆𝑈̅̅̅̅ and 𝐶𝑈̅̅̅̅, respectively. Segment 𝑂𝑇̅̅̅̅ is drawn so that ∠𝐶 ≅ ∠𝑂𝑇𝑈.

• 5.6

• 8.75

• 11

• 15

Tags

CCSS.HSG.CO.C.10

. In the diagram below, 𝐶𝐷̅̅̅̅ is the altitude drawn to the hypotenuse 𝐴𝐵̅̅̅̅ of right triangle 𝐴𝐵𝐶.

• 𝐴𝐷 = 2 and 𝐷𝐵 = 36

• 𝐴𝐷 = 3 and 𝐴𝐵 = 24

• 𝐴𝐷 = 6 and 𝐷𝐵 = 12

• 𝐴𝐷 = 8 and 𝐴𝐵 = 17