2. If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are 3. If two angles of one triangle are another triangle, then the triangles are similar. to two angles of Fill in the blanks to complete the statements about similar figures. The first one is done for you. 4. Triangles CDE and FGH are similar. Write three statements about their angle measures. mZF m2C = mZD = mZE =, 5. Complete the proportions relating the side lengths of triangles CDE and FGH. CE DE CD CE FH CD FG GH FH E 6. All triangles are similar.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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2. If two sides of one triangle are proportional to two sides of another
triangle and their included angles are congruent, then the triangles are
3. If two angles of one triangle are
another triangle, then the triangles are similar.
to two angles of
Fill in the blanks to complete the statements about similar figures.
The first one is done for you.
4. Triangles CDE and FGH are similar. Write three statements
about their angle measures.
mZF
m2C =
mZD =
mZE =,
5. Complete the proportions relating the side lengths
of triangles CDE and FGH.
CD
CE DE CD
FG GH FH
CE FH
E
6. All
triangles are similar.
For Problems 7–10, two similar figures are named. Answer the questions
based on the information provided. (If it helps you, draw sketches of the
figures on separate paper.) The first one is done for you.
7. ABCD ~ EFGH. Both figures are rectangles.
BC
= 3. Side EF measures 5 inches. What is
FG
15
the length of AB?
8. AHIJ ~ AKLM . Angles J and M are right angles.
mZH = 60°. What is the measure of ZL?
9. APQR ~ ASTU. PQ = 7. ST= 28. PR = 6. What is SU?
W
12
10. AVWJ ~ AYZX. Knowing the measures given in the
4
figure, what is YZ?
Transcribed Image Text:2. If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are 3. If two angles of one triangle are another triangle, then the triangles are similar. to two angles of Fill in the blanks to complete the statements about similar figures. The first one is done for you. 4. Triangles CDE and FGH are similar. Write three statements about their angle measures. mZF m2C = mZD = mZE =, 5. Complete the proportions relating the side lengths of triangles CDE and FGH. CD CE DE CD FG GH FH CE FH E 6. All triangles are similar. For Problems 7–10, two similar figures are named. Answer the questions based on the information provided. (If it helps you, draw sketches of the figures on separate paper.) The first one is done for you. 7. ABCD ~ EFGH. Both figures are rectangles. BC = 3. Side EF measures 5 inches. What is FG 15 the length of AB? 8. AHIJ ~ AKLM . Angles J and M are right angles. mZH = 60°. What is the measure of ZL? 9. APQR ~ ASTU. PQ = 7. ST= 28. PR = 6. What is SU? W 12 10. AVWJ ~ AYZX. Knowing the measures given in the 4 figure, what is YZ?
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