Directions: Write T if the statement is true, otherwise write F. in Fythagorean Theorem, the square of the hypotenuse is equal to the sum of the square of the legs. 2. Triangles with the same perimeter are similar. 3.In an isosceles right triangle, the length of the hypotenuse is equal to v2 times the length of a leg. 4. In a 30°-60°-90° Triangle Theorem, the length of the shorter leg is twice the length of the hypotenuse and the length of the longer leg is v3 times the length of the other leg. 5. If the length of the diagonal of a square is 10 units then the length of each side is 5 units. 6. The hypotenuse of a right triangle is the longest of all its three sides. 7. In a right triangle, the measure of the hypotenuse is equal to the sum of the measure of its legs. 8. SSS Similarity Theorem states that two triangles are similar if an angle of one triangle is congruent to an angle of another triangle and the corresponding sides including those angles are in proportion. 9. The AAA Similarity Postulate states that if the three angles of one triangle are congruent to three angles of another triangle, then the two triangles are similar. 10. Corresponding sides of similar polygons are proportional. MATCHING TYPE: Match column A with column B. Refer to the figure below. Write your answer on the space provided. COLUMN A COLUMN B 1. Name the right angle of AABC A. BC 2. What is the altitude to the hypotenuse of AABC? B. LCDA 3. Name the hypotenuse of AABC C. BD 4. Two segments of the hypotenuse are AD and D. AB 5. The hypotenuse of ABCD if CD 1 AB is E. CD 6. Name the right angle of AADC F. LC 7. Name the hypotenuse of right ABCD
Directions: Write T if the statement is true, otherwise write F. in Fythagorean Theorem, the square of the hypotenuse is equal to the sum of the square of the legs. 2. Triangles with the same perimeter are similar. 3.In an isosceles right triangle, the length of the hypotenuse is equal to v2 times the length of a leg. 4. In a 30°-60°-90° Triangle Theorem, the length of the shorter leg is twice the length of the hypotenuse and the length of the longer leg is v3 times the length of the other leg. 5. If the length of the diagonal of a square is 10 units then the length of each side is 5 units. 6. The hypotenuse of a right triangle is the longest of all its three sides. 7. In a right triangle, the measure of the hypotenuse is equal to the sum of the measure of its legs. 8. SSS Similarity Theorem states that two triangles are similar if an angle of one triangle is congruent to an angle of another triangle and the corresponding sides including those angles are in proportion. 9. The AAA Similarity Postulate states that if the three angles of one triangle are congruent to three angles of another triangle, then the two triangles are similar. 10. Corresponding sides of similar polygons are proportional. MATCHING TYPE: Match column A with column B. Refer to the figure below. Write your answer on the space provided. COLUMN A COLUMN B 1. Name the right angle of AABC A. BC 2. What is the altitude to the hypotenuse of AABC? B. LCDA 3. Name the hypotenuse of AABC C. BD 4. Two segments of the hypotenuse are AD and D. AB 5. The hypotenuse of ABCD if CD 1 AB is E. CD 6. Name the right angle of AADC F. LC 7. Name the hypotenuse of right ABCD
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
Related questions
Question
Transcribed Image Text:Directions: Write T if the statement is true, otherwise write E.
1. In Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the square
of the legs.
2. Triangles with the same perimeter are similar.
3. In an isosceles right triangle, the length of the hypotenuse is equal to v2 times the length
of a leg.
4. In a 30°-60°-90° Triangle Theorem, the length of the shorter leg is twice the length of the
hypotenuse and the length of the longer leg is v3 times the length of the other leg.
5. If the length of the diagonal of a square is 10 units then the length of each side is 5
units.
6. The hypotenuse of a right triangle is the longest of all its three sides.
7. In a right triangle, the measure of the hypotenuse is equal to the sum of the measure of
its legs.
8. SSS Similarity Theorem states that two triangles are similar if an angle of one triangle is
congruent to an angle of another triangle and the corresponding sides including those
angles are in proportion.
9. The AAA Similarity Postulate states that if the three angles of one triangle are congruent
to three angles of another triangle, then the two triangles are similar.
10. Corresponding sides of similar polygons are proportional.
MATCHING TYPE: Match column A with column B. Refer to the figure below. Write your answer
on the space provided.
COLUMN A
COLUMN B
1. Name the right angle of AABC
A. BC
2. What is the altitude to the hypotenuse of AABC?
B. LCDA
3. Name the hypotenuse of AABC
C. BD
4. Two segments of the hypotenuse are AD and
D. AB
5. The hypotenuse of ABCD if CD 1 AB is
E. CD
6. Name the right angle of AADC
F. LC
7. Name the hypotenuse of right ABCD
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