2. If two sides of one triangle are proportional to two sides of anothertriangle and their included angles are congruent, then the triangles are3. If two angles of one triangle areanother triangle, then the triangles are similar.to two angles ofFill 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 statementsabout their angle measures.mZFm2C =mZD =mZE =,5. Complete the proportions relating the side lengthsof triangles CDE and FGH.CDCE DE CDFG GH FHCE FHE6. Alltriangles are similar.For Problems 7–10, two similar figures are named. Answer the questionsbased on the information provided. (If it helps you, draw sketches of thefigures 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 isFG15the 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?W1210. AVWJ ~ AYZX. Knowing the measures given in the4figure, what is YZ?

We will use simple triangle properties of similarity in triangle to find solution to the problem .…

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.

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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Question

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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?

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