Similarity and AA: Practice Level 1 | Geometry

Level 1 · Foundational 0 / 12 answered

Question 1 of 12

1

Which description gives the definition of similar figures used in this lesson?

Answer choices for question 1 A A positive dilation together with rigid motions can map one figure exactly onto the other B Only a translation can map one figure onto the other C Both figures must have the same location D Any two figures with one equal angle are similar
2

It is given that $\triangle ABC\sim\triangle PQR$ . Which angle corresponds to $\angle B$ ?

Answer choices for question 2 A $\angle P$ B $\angle R$ C $\angle Q$ D $\angle A$
3

If $\triangle LMN\sim\triangle STU$ , which side corresponds to $LN$ ?

Answer choices for question 3 A $ST$ B $TU$ C $SN$ D $SU$
4

Two triangles are similar with scale factor 1. Which additional description is correct?

Answer choices for question 4 A Their corresponding angles are doubled B They are congruent C They must occupy the same position D They cannot be reflected copies
5

What angle information is sufficient to establish triangle similarity by AA?

Answer choices for question 5 A Two corresponding angle pairs at distinct vertices are equal B One angle is equal to itself twice C One corresponding angle pair is equal D Both triangles have an acute angle
6

A triangle has angles $43^\circ$ and $81^\circ$ . What is its third angle?

Answer choices for question 6 A $124^\circ$ B $38^\circ$ C $99^\circ$ D $56^\circ$
7

Given $\triangle ABC\sim\triangle DEF$ , suppose
$\begin{aligned}AB&=10\\DE&=14\\BC&=15.\end{aligned}$
Find $EF$ .

Answer choices for question 7 A $19$ B $\frac{75}{7}$ C $21$ D $10.5$
8

Two right triangles have one pair of equal corresponding acute angles. What establishes their similarity?

Answer choices for question 8 A The right angles alone B AA, using the right angles and the given acute angles C An assumption that every right triangle has the same shape D The fact that both have three sides
9

Only one pair of equal angles is known in two triangles. Which conclusion is justified?

Answer choices for question 9 A The triangles must be similar B The triangles must be congruent C The triangles cannot be similar D The given information is insufficient to prove similarity
10

A specified mapping matches A to P, B to Q, and C to R. The copy is then rotated. What happens to that specified correspondence?

Answer choices for question 10 A It changes to whichever vertices are highest B It remains A to P, B to Q, and C to R C It reverses whenever the picture turns D It is replaced by the order of side lengths on the page
11

The factor from triangle $JKL$ to triangle $MNO$ is $\frac 74$ . What is the factor for the reverse mapping?

Answer choices for question 11 A $\frac47$ B $\frac74$ C $\frac34$ D $\frac37$
12

Given $\triangle ABC\sim\triangle DEF$ , which reordered statement preserves the same correspondence?

Answer choices for question 12 A $\triangle BCA\sim\triangle FDE$ B $\triangle CAB\sim\triangle EFD$ C $\triangle BCA\sim\triangle EFD$ D $\triangle ABC\sim\triangle EFD$