Practice Triangle Sum and Similar Triangles

Which congruence statement correctly describes the relationship between the following triangles?

• ∆ABC ≅ ∆XYZ

• ∆ABC ≅ ∆XZY

• ∆ABC ≅ ∆ZYX

• ∆ABC ≅ ∆YXZ

• ∆ABC ≅ ∆YZX

Tags

CCSS.HSG.CO.B.7

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 or 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 the diagram below, ΔJKL ≅ ΔONM Based on the angle measures in the diagram, what is the measure, in degrees, of angle N?

Tags

CCSS.HSG.CO.B.7

Which of these statements is true about the sum of the measures of the interior angles of a triangle?

• It equals 90° beause by combining the three angles you can create a right angle.

• It equals 180° beause by combining the three angles you can create a right angle.

• It equals 90° beause by combining the three angles you can create a straight line.

• It equals 180° beause by combining the three angles you can create a straight line.

Tags

CCSS.8.G.A.5

The triangle shown is a scalene triangle. Which statement is true?

• m ∠ 1 = m ∠ 3

• m ∠ 1 + m ∠ 2 = m ∠ 4

• m ∠ 5 = m ∠ 1 m ∠ 2

• m ∠ 5 = m ∠ 6

Tags

CCSS.HSG.CO.C.11

Look at the diagram. Which statement is TRUE?

• The sum of the measures of ∠ZCA ∠YBC and is 90°.

• The sum of the measures of ∠ZCA and ∠BCA is 90°.

• The sum of the measures of ∠ZCA and ∠BCA is 180°.

• The sum of the measures of ∠ZCA ∠YBC and is 180°.

Tags

CCSS.7.G.B.5

Which explanation correctly describes the sum of the exterior angles of a triangle?

• Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is 3 x (180^o - 180^o) = 0^o

• Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is (3 x 180^o ) - 180^o = 360^o

• Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is (3 x 180^o ) + 180^o = 720^o

• Each pair of corresponding interior and exterior angles forms a straight angle, so the sum of the exterior angles is 3 x (180^o + 180^o)= 1080^o

What conclusions can be drawn by the fact that each interior angle and corresponding exterior angle of a triangle form a straight line? (Select all that are true)

• The measure of each interior angle must be 180^o - the measure of the corresponding exterior angle.

• The sum of the measures of the exterior angles must be 3 × 180° minus the sum of the measures of the interior angles.

• The measure of each interior angle must be 60^o

• The sum of the measures of the exterior angles must be 360°.

Parallel lines l and m are shown. Which triangles are similar?

• Δ BAC ~ Δ EDC

• Δ CAB ~ Δ CDE

• Δ ABC ~ Δ EDC

• Δ BCA ~ Δ ECD

Tags

CCSS.HSG.SRT.A.2

In this figure, Δ ABC ~ Δ XYZ. Which statement about the measure of ∠X is correct?

• m ∠X = 95^o

• m ∠X = 70^o

• m ∠X = 85^o

• m ∠X = 45^o

Tags

CCSS.HSG.SRT.A.2